A numerical investigation on ethylene glycol-titanium dioxide nanofluid convective flow over a stretching sheet in presence of heat generation/absorption

The present numerical investigation describes the influence of a transverse magnetic field on the heat and mass transfer characteristics of time‐dependent squeezed flow of Prandtl‐Eyring fluid past a horizontal sensor surface. The current physical problem is modeled based on the considered flow configuration. Also, the present problem is analyzed under the influence of Lorentz forces, to explore the impact of a magnetic field on the flow behaviour. The considered physical problem in the present study gives highly nonlinear coupled time‐dependent, two‐dimensional partial differential equations. The governing flow equations are reduced to the system of nonlinear ordinary differential equations by imposing the suitable similarity transformations on the laws of motion. Due to the inadequacy in the analytical methods, the present problem is solved by using the Runge‐Kutta fourth order integration scheme with shooting method. The flow and heat transfer behaviour of various control parameters are studied and presented in terms of graphs and tables. From the current investigation it is noticed that, the increasing magnetic parameter enhances the velocity field and diminishes the temperature profile in the flow region. Also, the magnifying permeable velocity parameter decreases the temperature field. The present similarity solutions are found to be in good agreement with previously published results.

“…For the better numerical accuracy, the step size is chosen as

h = 0.01

and the convergence criterion is fixed as

10^{- 5}

for all the flow‐field variables. The detailed explanation on RK‐SM can be found in the literature …”

Section: Numerical Solution Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetized squeezed flow of time‐dependent Prandtl‐Eyring fluid past a sensor surface

Shankar

Naduvinamani

2019

“…Clearly, in this paper, the entropy generation rate depends on the Reynolds number and Bejan number. There are also noteworthy essays in this area that are presented in Hosseinzadeh et al [9][10][11][12][13][14] As we know, a Newtonian fluid is a substance whose shear stress is only a function of the shear rate without yield stress (zero shear stress at zero stress rate). In this regard, a non-Newtonian fluid could be easily defined as a fluid without Newtonian behavior.…”

Section: Introductionmentioning

confidence: 99%

Numerical treatment of magneto Carreau nanofluid over a stretching sheet considering Joule heating impact and nonlinear thermal ray

Ghobadi

Hassankolaei

2019

In this essay, the magnetohydrodynamic flow of a Carreau nanoliquid upon a radiative stretching plate has been reviewed. The impacts of Joule heating and thermal ray are considered. The thermophoresis phenomenon and Brownian motion are applied to model nanoparticles (Buongiorno's model). Governing equations are solved numerically using Runge-Kutta-Fehlberg 4.5 after the transformation of partial differential equations into ordinary differential equations. In the obtained outcomes of investigating the impacts of different parameters on the change in velocity, concentration, and temperature profiles for two cases of shear-thinning liquid and shear thickening liquid are reported as diagrams. Also, in the final segment of this essay, the impacts of diverse parameters on the skin friction coefficient and the local Nusselt number are investigated. The novel findings of current research illustrate that the values of local Nusselt number and surface drag force for shear thickening liquid are higher than shear-thinning liquid. Also, the temperature profile θ η ( ) has direct relationships with thermal radiation and magnetic field. K E Y W O R D S Buongiorno's model, Carreau nanofluid, Joule heating effect, magnetohydrodynamic (MHD), thermal ray

“…Besides, it increases the temperature by generating the friction between the electrical and magnetic fields with the stream layers. Also, following the topics discussed above, many valuable articles have been published that can be referred to for further study …”

Section: Introductionmentioning

confidence: 99%

“…Also, following the topics discussed above, many valuable articles have been published that can be referred to for further study. [21][22][23][24][25][26][27][28][29][30][31][32]…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermal radiation and chemical reaction effects on Maxwell fluid flow with convectively heated plate in a porous medium

Hosseinzadeh

Gholinia

Jafari

et al. 2018

Self Cite

102

This paper investigated the chemically reactive radiating flow by using a two‐dimensional Darcy‐Forchheimer model with the convectively heated plate. The nonlinear thermal radiation is described by Joule heating and heat generation. Also, Darcy‐Forchheimer equation is related to porous medium flows. For the solution of equations, we used the numerical method. Further, more physical interpretation of the parameters was demonstrated with figures. It is found that an increase in the Prandtl number had a direct effect on the Nusselt number and temperature, whereas the opposite scenario was observed in the Eckert number.